25004000 has 192 divisors, whose sum is σ = 75479040. Its totient is φ = 7948800.

The previous prime is 25003997. The next prime is 25004017. The reversal of 25004000 is 40052.

It is a sliding number, since 25004000 = 4000 + 25000000 and 1/4000 + 1/25000000 = 0.00025004000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531977 + ... + 532023.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 2^25004000 is an apocalyptic number.

25004000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

25004000 is an abundant number, since it is smaller than the sum of its proper divisors (50475040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25004000 is a wasteful number, since it uses less digits than its factorization.

25004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 25004000 is about 5000.3999840013. The cubic root of 25004000 is about 292.4173677509.

Adding to 25004000 its reverse (40052), we get a palindrome (25044052).

It can be divided in two parts, 2500 and 4000, that multiplied together give a 7-th power (10000000 = 10⁷).

The spelling of 25004000 in words is "twenty-five million, four thousand".